$20 because 10% of 40 is 10 and the price now is 40 so 2 years before would have been 20
1. Introduction. This paper discusses a special form of positive dependence.
Positive dependence may refer to two random variables that have
a positive covariance, but other definitions of positive dependence have
been proposed as well; see [24] for an overview. Random variables X =
(X1, . . . , Xd) are said to be associated if cov{f(X), g(X)} ≥ 0 for any
two non-decreasing functions f and g for which E|f(X)|, E|g(X)|, and
E|f(X)g(X)| all exist [13]. This notion has important applications in probability
theory and statistical physics; see, for example, [28, 29].
However, association may be difficult to verify in a specific context. The
celebrated FKG theorem, formulated by Fortuin, Kasteleyn, and Ginibre in
[14], introduces an alternative notion and establishes that X are associated if
∗
SF was supported in part by an NSERC Discovery Research Grant, KS by grant
#FA9550-12-1-0392 from the U.S. Air Force Office of Scientific Research (AFOSR) and
the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science
Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme
PIOF-GA-2011-300975.
MSC 2010 subject classifications: Primary 60E15, 62H99; secondary 15B48
Keywords and phrases: Association, concentration graph, conditional Gaussian distribution,
faithfulness, graphical models, log-linear interactions, Markov property, positive
Answer:
C is (-18, 24)
Scale factor 1 1/3
A is (9, - 4 1/2) *4 1/2 is also 4.5
Step-by-step explanation:
When we take a look at image B (-24, -12) and pre image B (-18, -9),
we can work out the scale factor by
(-24/-18) and (-12/-9) both equal 4/3
So using the scale factor to go from the pre image to the image,
We can find C coordinate by multiplying pre image C by the scale factor.
C is (-13.5 x 4/3) and (18 x 4/3)
C is (-18, 24)
The scale factor is 4/3, which is the mixed numeral of 1 1/3.
To find the pre image of point A we divide the image by the scale factor
A is (12/(4/3)) and (-6/(4/3))
A is (9, - 4 1/2)
Hope this helps,
Cate
To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.
